Marginally trapped submanifolds in Lorentzian space forms and in the Lorentzian product of a space form by the real line

Abstract

We give local, explicit representation formulas for n-dimensional spacelike submanifolds which are marginally trapped in the Minkowski space, the de Sitter and anti de Sitter spaces and the Lorentzian products of the sphere and the hyperbolic space by the real line.